is nonempty and bounded, where \( D_T \)  denotes the set of differentiable points of \( T \) .
The set \( \partial _B T(x) \)  is called the B-subdifferential of \( T \)  in \( x \) , its
convex hull gives the generalized Jacobian \( \partial T(x) \)  by Clarke [1]}.
A point \( x \)  is called BD-regular, if all elements in \( \partial _B T(x) \)  are
nonsingular. The nonsmooth Newton method
\(x^{k+1} := x^k - H_k^{-1} \cdot T(x^k) \quad \forall k = 0, 1, 2, \ldots \quad \text{with} \quad H_k \in \partial _B T(x^k)\) 
